International Conference-School
Dynamics, Bifurcations and Chaos 2016 (DBC III) 18 – 22 July, 2016
University Conference Center Nizhny Novgorod University
Gagarina 23, Corp. 1,
New library building (NLB), floor 4
PROGRAM
Nizhny Novgorod -2016
Monday, July 18
9-00 – 10-00 Registration
10-00 – 10-30 Opening (NLB, Conference Hall) Chairman S. Gonchenko (NLB, Conference Hall)
10-30 – 11-15 V.S. Anishchenko “Coherence-incoherence transition in an ensemble of coupled maps”
11-20 – 12-05 A. Shilnikov “Stunning complexity of global bifurcations in models with saddles and saddle-foci”
12-10 – 12-40 Coffee-break
12-40 – 13-25 V. Grines, E. Zhuzhoma “On dynamical systems on surfaces and Anosov-Weil theory”
13-30 – 14-30 Lunch
Chairman V.S. Anischenko (NLB, Conference Hall)
14-30 – 15-15 S. Gonchenko, Course “Elements of contemporary theory of dynamical chaos”, Lecture 1
15-15 – 16-00 L. Lerman, Course “Chaos in Hamiltonian systems”, Lecture 1
16-00 – 16-30 Coffee-break
Section: Bifurcations and strange attractors Chairman: D. Turaev (NLB, Conference Hall)
Section: Dynamics and Topology
Chairman: S. Maksimenko (NLB, Exhibition Room)
Section: Infinite-dimensional dynamical systems
Chairman: I. Kashchenko (NLB, Room 3)
16-30 17-00
K. Shinohara “Volume hyperbolicity and wildness”
O. Pochinka “Energy function for A-
diffeomorphisms in dimensions 2 and 3”
A. Kostianko “Inertial manifolds for reaction-diffusion-advection problems”
17-00 17-30
I. Ovsyannikov
“Discrete Lorenz attractors in three- dimensional maps with homoclinic and
heteroclinic tangencies”
I. Vlasenko “On the dynamics of non-invertible branched coverings of surfaces”
G. Alfimov, A. Kirilin “Soliton solutions of vector defocusing Gross-Pitaevskii equation: a method for full description?”
17-30 17-50
A. Gonchenko
“Pseudohyperbolic attractors in three- dimensional Henon maps”
V. Grines, V. Medvedev, E. Zhuzhoma “On
supporting manifolds for Morse-Smale systems”
M. Lebedev “Stable dipole solitons and soliton complexes in the nonlinear Schrodinger equation with periodically modulated nonlinearity”
17-50 18-10
J. Creaser “Finding first foliation tangencies in the Lorenz system”
A. Barragan. “Sectional Anosov Flows: Existence of Venice Masks with two singularities”
I. Remizov “Solution to the Cauchy problem for parabolic PDE using space shift based formulas”
18-10 18-30
D. Todorov “Random- fast-slow averaging”
C. Olszowiec “Complex behaviour in cyclic
competition bimatrix games”
L. Savkin “Analysis of the methods of implementation of the precision chaos generators”
Tuesday, July 19
Chairman A. Shilnikov (NLB, Conference Hall)
10-00 – 10-45 D. Turaev “Quantum acceleration”
10-50 – 11-35 S. Kuznetsov “Hyperbolic chaos in mechanical and electronic systems”
11-40 – 12-10 Coffee-break
12-10 – 12-50 A. Neiman “Emergence and coherence of oscillations in star and tree networks of stochastic excitable elements”
12-50 – 13-30 T. Pereira “Robust Chimeras in Networks”
13-30 – 14-30 Lunch Chairman M. Malkin (NLB, Conference Hall)
14-30 – 15-15 S. Gonchenko, Course “Elements of contemporary theory of dynamical chaos”, Lecture 2
15-15 – 15-45 A. Kazakov, I. Sataev “Scenarios of the birth and evolution of strange attractors in the nonholonomic model of the Chaplygin top”
15-45 – 16-15 Coffee-break
Section: Bifurcations and strange attractors-1 Chairman: V. Belykh (NLB, Conference Hall)
Section: Hamiltonian and mixed dynamics
Chairman: M.Gonchenko (NLB, Exhibition Room)
Section: Bifurcations and strange attractors -2
Chairman: L. Glebsky (NLB, Room 3)
16-15 - 16-45 A. Rodrigues
“Quasi-stochastic Bykov attractors”
16-15 - 16-45 T. Seara
“Oscillatory motions in the restricted planar elliptic three body problem”
16-15 - 16-45 I. Kashchenko “Local dynamics of second-order equation with large delay”
16-45 - 17-15 J.C.Tatjer “Non- smooth bifurcations in quasi- periodically forced 1-D maps”
16-45 - 17-15 V. Sidorenko
“The eccentric Kozai-Lidov effect as a resonance phenomenon”
16-45 – 17-00 S.Belyakin
“Stabilization of hyperbolic Plykin attractor by the Piragas method”
17.00 – 17.20 M. Kulakov
“Transformations of cluster basins and phase space in a ring of nonlocally coupled logistic maps”
17-15 - 17-35 N. Solodovnikov
“Bifurcations of one-parameter families of vector fields on the two-dimensional sphere”
17-15 – 17.45 A. Vieiro
“Splitting of separatrices at a periodically forced
Hamiltonian-Hopf bifurcation” 17-20 - 17-50 N. Stankevich
“Ouasiperiodic bifurcations in five coupled van der Pol oscillators”
17-35 - 17-55 N. Solodovnikov, I. Schurov “Duck factory on the two-torus: multiple canard cycles without geometric constraints”
17-45 – 18.15 A. Batkhin
“Bifurcations of periodic solutions of a generalized Hill problem”
17-50 – 18.20 A. Kuznetsov, M.
Pozdnyakov, A. Savin, D. Savin,
“On the dynamics of quasiperiodically driven maps with weak dissipation”
_____________________________________
18-20 - 18-40 M. Preobrazhenskaia
“Existence and stability of bursting cycles in a neuron model with two delays”
I. Belykh, V. Belykh, R. Jeter
“Bifurcations and crowd dynamics on a wobbly bridge”
18.15 – 18.35 D.Li
“Heterodimensional cycles born at bifurcations of Shilnikov loops”
18.15 – 18.35 V. Fain “Stability of some periodic orbits in a circle billiard with a small interior scatterer”
Wednesday, July 20
Chairman: A. Morozov (NLB, Conference Hall)
10-00 – 10-45 W. Tucker “In search for the Henon attractor”
10-50 – 11-35 Yu. Ilyashenko “Towards the global bifurcation theory on the plane”
11-40 – 12-20 Coffee-break (+ beginning of Poster sessions) 12-20– 13-00 S. Zelik “Recent progress in the theory of inertial manifolds”
13-00 – 14-30 Lunch Chairman: V. Grines (NLB, Conference Hall)
14-30 – 15-15 L. Lerman, Course “Chaos in Hamiltonian systems” Lecture 2
15.15 – 15-45 S. Slijepcevic "Variational construction of positive entropy invariant measures of Lagrangian systems and Arnold diffusion"
15-45 – 16-30 Coffee-break
Section: Bifurcations and Chaos Chairman I. Vlasenko
(NLB, Conference Hall)
Section: Hamiltonian and mixed dynamics
Chairman: X. Leoncini (NLB, Exhibition Room)
Section: Applications of dynamical systems Chairman: A. Neiman (NLB, Room 3)
16-30- 17-00 S. Maksymenko
“Contractibility of manifolds by means of stochastic flows”
16.30 – 17.00 A. Kazakov “On the phenomenon of mixed dynamics in Pikovsky-Topaj system of coupled rotators”
16-30- 17-00 T. Gurina
“Homoclinic cascade of
bifurcations in models of the fall plate in a viscous fluid”
17-00 – 17.30 M. Yumagulov
“The main asymptotics in the problem of Andronov-Hopf bifurcation”
17-00 - 17-30 T. Lazaro
“Mixed dynamics in planar reversible maps with a symmetric couple of quadratic tangencies”
17-00 - 17-30 K. Aleshin
“Dynamics of the spintransfer nano-oscillator under spin wave impact induced by external signal”
17-30 – 17-50 S.A. Dovbysh
“Anti-integrable limit and non- existence of first integral in multi-dimensional systems”
17-30 - 18-00 M. Gonchenko
“Bifurcations of cubic
homoclinic tangencies in two- dimensional symplectic maps”
17-30 – 17-45 F.Aydogmus, E.Tosyali “Chaos in BEC for Gaussian optical lattice potential”
17-45 – 18-00 F.Aydogmus, E.Tosyali “The effects of white noise in fermionic systems”
17-50 – 18-10 M. Malkin “High - dimensional perturbations of zero entropy Lorenz maps”
18-00 - 18-20 E. Slepukhina
“Complex dynamic regimes in the stochastic Hindmarsh-Rose model”
18-00 - 18-30 R. Medrano “The scenery in planar parameter space from a cubic
homoclinic tangency”
18-10 - 18-30 A.D.Morozov, K.E.Morozov "On transitory shift in pendulum type
equations”
18-20 - 18-40 A. Chekmareva, A. Kuznetsov, A. Savin
“Formation of attractors in the system of phase equations with symmetry violation”
Poster sessions (Wednesday and Friday, the whole day):
1) F.Aydogmus, E.Tosyali “From regularity to chaos in the GPE with bichromatic trap”
2) J. Bakarji “Stochastic Modeling of Slow Granular Flows”
3) V. Bogaevskaya “Time-delayed control of stability for periodic solution”
4) S. Bogomolov, G. Strelkova “Analysis of spatial correlations at the coherence- incoherence transition in a ring of nonlocally coupled logistic maps”
5) M. Bolotov, G.Osipov "Collective dynamics of rotators coupled via common impulse field"
6) E. Giricheva “Effect of intratrophic predation and spatial activity of zooplankton on the Turing instability in NPZ-model”
7) A. Gonchenko, A. Kozlov “Strange attractors in three-dimensional nonorientable Henon maps”
8) P. Kizin “On initial data for Cauchy problem for equation uxx+Q(x)u-P(u)=0 corresponding to singular solutions”
9) E. Kolbina “Effect of optimal harvesting on the genetic diversity and dynamics of a Mendelian limited population”
10) A. Korobeynikov "Sliding modes for NLS-type lattice with saturable nonlinearity:
discrete vs continuous description"
11) E. Krotova “Identification of chaotic signals by the form the law of distribution of density of probability of selective values”
12) M. Kulakov, E. Frisman "Clustering in the linear chain and ring of Ricker population models at the colonization of the linear area"
13) Yu. Levchenko “On dynamics of diffeomorphisms of three-dimensional manifolds with one-dimensional surface basic sets”
14) M. Mammeri “An identical period-doubling route to chaos in a family of 3-D sinusoid discrete maps”
15) E. Nozdrinova “One-dimensional dynamics”
16) A. Shilovskaya “On three-dimensional diffeomorphisms with one-dimensional basic sets spaciously situated on 2-tori.”
Thursday, July 21
Chairman: S. Kuznetsov (NLB, Conference Hall)
10-00 – 10-45 H. Broer “Classification of constrained differential equations embedded in the theory of slow fast systems”
10-50 – 11-20 Coffee-break
11-20 – 12-00 T. Vadivasova “Noise-induced transitions in a bistable oscillator with state dependent nonlinear dissipation”
12-10 – 13-10 Lunch 14-00 – 18-00 Excursion 19-00 – 22-00 Conference dinner
Friday, July 22
Chairman: S. Zelik (NLB, Conference Hall)
10-00 – 10-45 V. Belykh “Shilnikov bifurcation in certain systems”
10-50 – 11-20 X. Leoncini “When rare events dominate transport: stickiness in Hamiltonian systems”
11-20 – 11-50 L. Glebsky “Dynamics of modular exponent and the Higman group”
11-50 – 12-20 Coffee-break
12-20 – 13-00 A. Morozov, Course “Chaos in Hamiltonian systems”, Lecture 3 (Systems with non-monotonic rotation)
13-00 – 14-30 Lunch
Section: Bifurcations and strange attractors
Chairman: Yu.Ilyashenko (NLB, Conference Hall)
Section: Applications of dynamical systems Chairman: A.Rassadin (NLB, Exhibition Room)
Section: Population dynamics
Chairman: A. Kazakov (NLB, Room3)
14-30 15-00
L. Efremova “Birkhoff Problem on the depth of the center for skew products of maps of an interval”
A. Potapov, A. Rassadin
“Feynman integrals and radiation of waves in two- and three-dimensional spaces”
E. Grines “On constructing simple examples of three-
dimensional flows with two heteroclinic cycles”
15-00 15-20
A. Okunev “Generic iterated function systems on the circle”
O. Galkin “On global extrema of Weierstrass’
functions”
G.Neverova “Complex dynamics regimes of age- structured population with density dependent
regulation”
15-20 15-40
S. Minkov “Non-trivial attractors for Anosov diffeomorphisms”
A. Gavrilin “The radar aspect of electron wave function”
O. Zhdanova
“Multistability and
multimodality in Ricker’s model with genetically defined parameters”
15-40 16-00
N. Isaenkova “On
semiconjugacy of Williams endomorphism and
nonsingular circle endomorphism”
A. Kitaev “The application of modified Lagrange’s and Hamilton’s equations for systems with energy dissipation“
O. Revutskaya “Dynamic modes and multistability in the model of population with a simple age structure”
16-00 16-20
H. Sanabria “Sectional- Anosov flows of Venice mask type in compact 3- manifolds”
A. Gavrilin “Magnetic dipole vs bimonopole”
N. Belotelov “A simulation model of population dynamics taking into account nonlocal interactions”
16-20 – 16-50 Coffee-break
16-50 -17-10 L. Stefanenko “On the dependence of solutions of convolution equations on convex sets on the right-hand side”
Closing